solve the following system by the substitution method 2y=8x+8
4x-y=-4
First, solve one of the equations for one variable.
Let's solve the second equation for y:
4x - y = -4
Add y to both sides to isolate the term with y:
4x = y - 4
Now, solve the first equation for y:
2y = 8x + 8
Divide by 2:
y = 4x + 4
Now that we have an expression for y in terms of x, we can substitute it into the second equation:
4x - (4x + 4) = -4
Distribute the negative sign:
4x - 4x - 4 = -4
Combine like terms:
-4 = -4
This equation is true for any value of x. This means that the system of equations has infinitely many solutions.